Constructing an exponential model
Combine the starting amount with a repeated percentage multiplier.
- Use
for growth or for decay, with written as a decimal. counts the number of equal time periods since the starting value.
Example 1
A repeated increase
Construct an exponential model for the situation. An initial population of 300 grows by 6% each year.
Example 2
Construct an exponential model for the situation. An initial value of 800 decreases by 15% each year.
Your turn
An amount starts at 500 and increases by 4% each year. Write
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An amount starts at 1200 and decreases by 8% each year. Write
Check answer
An amount starts at 80 and increases by 25% each year. Write
Check answer
An amount starts at 600 and decreases by 15% each year. Write
Check answer
An amount starts at 200 and increases by 2.5% each year. Write
Check answer
An amount starts at 500 and increases by 4% each year. Write
An amount starts at 1200 and decreases by 8% each year. Write
An amount starts at 80 and increases by 25% each year. Write
An amount starts at 600 and decreases by 15% each year. Write
An amount starts at 200 and increases by 2.5% each year. Write